Search a number
-
+
121143102202320 = 243511376120331209
BaseRepresentation
bin11011100010110111010011…
…100100101110000111010000
3120212221011112002020112201220
4123202313103210232013100
5111334302033130433240
61105352212312125040
734342205001452142
oct3342672344560720
9525834462215656
10121143102202320
1135666556aa9810
1211706417996780
13527998cba3a73
1421cb500b12c92
15e0132411e5d0
hex6e2dd392e1d0

121143102202320 has 320 divisors, whose sum is σ = 427654153025280. Its totient is φ = 28105861939200.

The previous prime is 121143102202301. The next prime is 121143102202351. The reversal of 121143102202320 is 23202201341121.

121143102202320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1211431022023203 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4207125 + ... + 16124084.

It is an arithmetic number, because the mean of its divisors is an integer number (1336419228204).

Almost surely, 2121143102202320 is an apocalyptic number.

121143102202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121143102202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213827076512640).

121143102202320 is an abundant number, since it is smaller than the sum of its proper divisors (306511050822960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121143102202320 is a wasteful number, since it uses less digits than its factorization.

121143102202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20331334 (or 20331328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 121143102202320 its reverse (23202201341121), we get a palindrome (144345303543441).

The spelling of 121143102202320 in words is "one hundred twenty-one trillion, one hundred forty-three billion, one hundred two million, two hundred two thousand, three hundred twenty".